Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Simplify: 2(c - 8)

Back

2c - 16

Front

Simplify: 3(2c - 5)

Back

6c - 15

Front

Simplify: 5(a + 6)

Back

5a + 30

Front

Simplify: 11(9 + d)

Back

99 + 11d

Front

Simplify: 8(5 + w)

Back

40 + 8w

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to make the expression as concise as possible.

Front

If a = 4, what is the value of 2(a - 3)?

Back

2(4 - 3) = 2(1) = 2

Front

What is an example of using the Distributive Property with negative numbers?

Back

For example, 3(-2 + 4) = 3(-2) + 3(4) = -6 + 12 = 6.

Front

How do you apply the Distributive Property to the expression 4(x + 2y)?

Back

4(x + 2y) = 4x + 8y.